Search a number
-
+
6404944 = 247135383
BaseRepresentation
bin11000011011101101010000
3110001101221011
4120123231100
53114424234
6345140304
7105304210
oct30335520
913041834
106404944
113685147
12218a694
131433410
14bca240
15867b64
hex61bb50

6404944 has 80 divisors (see below), whose sum is σ = 15748992. Its totient is φ = 2456064.

The previous prime is 6404929. The next prime is 6404987. The reversal of 6404944 is 4494046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77127 + ... + 77209.

Almost surely, 26404944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874496).

6404944 is an abundant number, since it is smaller than the sum of its proper divisors (9344048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6404944 is a wasteful number, since it uses less digits than its factorization.

6404944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 6404944 is about 2530.7990832937. The cubic root of 6404944 is about 185.7113494041.

The spelling of 6404944 in words is "six million, four hundred four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 83 91 104 106 112 166 182 208 212 332 364 371 424 581 664 689 728 742 848 1079 1162 1328 1378 1456 1484 2158 2324 2756 2968 4316 4399 4648 4823 5512 5936 7553 8632 8798 9296 9646 11024 15106 17264 17596 19292 30212 30793 35192 38584 57187 60424 61586 70384 77168 114374 120848 123172 228748 246344 400309 457496 492688 800618 914992 1601236 3202472 6404944